find (2x+4) (x-4) using the table of products. write your answer in standard form.​

The equation to find the cost of each pair of shorts is 175 = 75 + 5x where each short cost $20

Cost of jackets= $75

Number of shorts= 5

Cost of each short = x

Total amount Jim spent= $175

Total amount Jim spent = Cost of jackets + (Number of shorts × Cost of each short)

175 = 75 + 5x

subtract 75 from both sides

175 - 75 = 5x

100 = 5x

divide both sides by 5

x = 100/5

x = $20

Ultimately, each pair of shorts cost $20

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Answer:

$1.65 (rounded up)

$1.6475 (not rounded)

Step-by-step explanation:

6.59 / 4 = 1.6475

4 is the quarters in a pound.

Answer:

yes it is a right triangle

Step-by-step explanation:

i promise u im correct !

The correct choice is within your skills and abilities.

Once you get to determine things you are capable of and things you are not capable of, you will be able to concentrate on your strengths more. This will in turn produce big results as compared to if you opted to concentrate on your weaknesses.

It will also result in no or less time wasted in doing what you are less capable of.

Its almost close to impossible to be able to do everything. Each person is gifted in a certain area or skill or capability. We are all different and that's okay.

Its so important to concentrate in the areas you are more comfortable with. This will help you much with improving your skills and abilities.

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Answer:

Step-by-step explanation:

a you just had to say a

Answer:

(-4,1)(-4,1)

Step-by-step explanation:

Answer:

(-4,1)(-4,1)

Step-by-step explanation:

because its right

To calculate the reliability of the bank loan processing system with backup components, we can use the concept of series-parallel system reliability.

In the original system, the three components are connected in series. To calculate the overall reliability of the system, we multiply the reliabilities of the individual components:

R_system = R_1 * R_2 * R_3 = 0.82 * 0.991 * 0.98 ≈ 0.801

So, the reliability of the bank loan processing system without backup components is approximately 0.801.

Now, if each of the three components has a backup with a reliability of 0.80, we have a parallel configuration between the original components and their backups. In a parallel system, the overall reliability is calculated as 1 minus the product of the complement of individual reliabilities.

Let's calculate the reliability of each component with the backup:

R_1_with_backup = 1 - (1 - R_1) * (1 - 0.80) = 1 - (1 - 0.82) * (1 - 0.80) ≈ 0.984

R_2_with_backup = 1 - (1 - R_2) * (1 - 0.80) = 1 - (1 - 0.991) * (1 - 0.80) ≈ 0.9988

R_3_with_backup = 1 - (1 - R_3) * (1 - 0.80) = 1 - (1 - 0.98) * (1 - 0.80) ≈ 0.9992

Now, we calculate the overall reliability of the system with the backups:

R_system_with_backup = R_1_with_backup * R_2_with_backup * R_3_with_backup ≈ 0.984 * 0.9988 * 0.9992 ≈ 0.981

Therefore, the reliability of the bank loan processing system with backup components is approximately 0.981.

Comparing the two scenarios, we can see that introducing backup components with a reliability of 0.80 has improved the overall reliability of the system. The total reliability increased from 0.801 (without backups) to 0.981 (with backups). Having backup components in a parallel configuration provides redundancy and increases the system's ability to withstand failures, resulting in higher reliability.

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☁️ y = -1 ☁️

Hope it helps.

Explanation: Have a nice day!~ ￣▽￣❤️

Answers:

AC = 221.37 feet

BC = 181.34 feet

The values are approximate.

=========================================================

Explanation:

Focus on triangle ACD for now.

The 67 degree angle adjacent to angle D helps us find that angle D = 180-67 = 113 degrees.

Let's find the missing angle C.

A+C+D = 180

55+C+113 = 180

C+168 = 180

C = 180-168

C = 12

Now we can use the Law of Sines to find side d, which is opposite angle D. This is the segment AC.

\(\frac{\sin(C)}{c} = \frac{\sin(D)}{d}\\\\\frac{\sin(12)}{50} = \frac{\sin(113)}{d}\\\\d\sin(12) = 50\sin(113)\\\\d = \frac{50\sin(113)}{\sin(12)}\\\\d \approx 221.369 190\\\\d \approx 221.37\\\\\)

Segment AC is roughly 221.37 feet long.

Keeping our attention on triangle ACD, let's find side 'a'. This is the segment CD.

\(\frac{\sin(C)}{c} = \frac{\sin(A)}{a}\\\\\frac{\sin(12)}{50} = \frac{\sin(55)}{d}\\\\a\sin(12) = 50\sin(55)\\\\a = \frac{50\sin(55)}{\sin(12)}\\\\a \approx 196.995 186\\\\\)

Segment CD is roughly 196.995186 feet long.

----------------------------------------------

Now move onto triangle BCD.

Use the sine ratio to determine side BC.

\(\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(\text{D}) = \frac{\text{BC}}{\text{CD}}\\\\\sin(67) \approx \frac{\text{BC}}{196.995186}\\\\\text{BC} \approx 196.995186*\sin(67)\\\\\text{BC} \approx 181.335025\\\\\text{BC} \approx 181.34\\\\\)

Segment BC is roughly 181.34 feet long.

Based on the given p-value of 0.0415, we can conclude that there is sufficient evidence to reject the null hypothesis (H0) and accept the alternative hypothesis (Ha). Therefore, we can say that the colors in a Skittles bag are not evenly distributed.


This is because:
1. The null hypothesis (H0) in this test states that the colors in a Skittles bag are evenly distributed.
2. The alternative hypothesis (Ha) states that the colors in a Skittles bag are not evenly distributed.
3. The p-value is a measure of the strength of evidence against the null hypothesis.
4. In this case, the p-value is 0.0415.
5. The p-value represents the probability of obtaining results as extreme as the observed data, assuming that the null hypothesis is true.
6. In simpler terms, it tells us how likely it is to observe the data we have if the null hypothesis is true.
7. A p-value less than the predetermined significance level (usually 0.05) indicates that the observed data is unlikely to have occurred by chance alone if the null hypothesis is true.
8. In this case, since the p-value (0.0415) is less than 0.05, we have enough evidence to reject the null hypothesis and accept the alternative hypothesis.
9. Therefore, we can conclude that the colors in a Skittles bag are not evenly distributed.

In conclusion, the p-value provides evidence to support the rejection of the null hypothesis, indicating that the colors in a Skittles bag are not evenly distributed.

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Complete the missing terms in the arithmetic sequence shown here: 2, ,4.5, 7, 9.5, 12?

It should be noted that an arithmetic sequence has a first term and common difference.

In this case, a = first term = 2

a + 2d = 3rd term = 7

Since a + 2d = 7

2 + 2d = 7

2d = 7 - 2

2d = 5

Divide

d = 5/2 = 2.5

The common difference is 5

The second term will be:

= a + d

= 2 + 2.5

= 4.5

The 4th term will be:

= a + 3d

= 2 + 3(2.5)

= 2 + 7.5

= 9.5

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To say "the ball picked up the same amount of speed in each successive time interval" means that the ball's speed increased by an equal amount during each subsequent time period.

When we say that the ball picked up the same amount of speed in each successive time interval, it means that the ball's velocity increased by a consistent value during each subsequent period of time. In other words, the ball experienced the same acceleration in each interval.

For example, let's say we observe the ball's speed at regular intervals of time, such as every second. If the ball's speed increases by 5 meters per second (m/s) in the first second, it would then increase by an additional 5 m/s in the second second, and so on. This demonstrates that the ball is gaining the same amount of speed with each passing interval.

This statement implies a constant or uniform acceleration. In such a scenario, the ball's velocity would increase linearly with time. It is important to note that this assumption may not always hold true in real-world situations, as various factors like friction or external forces can influence the ball's acceleration.

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Mrs. Hugo and Mrs. Thompson left the conference at the same time and headed in opposite directions. After 4 hours, they were 452 miles apart. If Mrs. Hugo drove 3mph faster than Mrs. Thompson drove at a speed of 71.125 mph.

Thompson drove given that she and Mrs. Hugo left a conference at the same time and headed in opposite directions. After 4 hours, they were 452 miles apart, and Mrs.

Hugo drove 3 mph faster than Mrs. Thompson.

To solve this problem, we can use the formula

distance = rate x time.

Let's let x be the speed at which Mrs. Thompson drove.

Therefore, the speed at which Mrs.

Hugo drove would be x + 3.

Since they were driving in opposite directions, we can add their speeds to find the total distance they traveled, which would be 2x + 3.

Using the distance formula, we know that

452 = (2x + 3) x 4.

Simplifying this equation, we get:

452 = 8x + 123529 = 8x 71. 125 = x

Therefore, Mrs. Thompson drove at a speed of 71.125 mph.

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Answer:

55mph

Step-by-step explanation:

(Mrs. Hugo's distance) + (Mrs. Thompson's distance) = 452

Mrs. Hugo's distance (d = x * t) 4(x + 3)

Mrs. Thompson's distance 4x

4(x + 3) + 4x = 452

Distribute: 4x + 12 + 4x = 452

Add: 8x + 12 = 452

Change side: 8x = 452 - 12

Subtract: 8x = 440

Divide by 8: x = 55

x = 55mph

Answer:

The percent gain would be 77952515`0%

Answer:

Step-by-step explanation:

Remark

If the entire circle was shaded the radius sweeping out the circle would go through 360 degrees.

So the way to solve this problem is to multiply the entire area of the circle by (81/360)

Area of the sector = (81/360) * pi * r^2

pi = 3.14

r =8.91 cm

Area of the sector = (81/360) * 3.14 * 8.91^2

Area of the sector = 56.09

Rounded to the nearest tenth, the answer is 56.1

Answer: 56.1 cm^2

Answer:

0.4

Step-by-step explanation:

if u reduce that fraction it would be 4/10 which is 0.4 in decimal form

Answer: The LCD is x(x-3)(x+1) the answer is c

Step-by-step explanation:

The length, b, of the longest side of the triangle is 13.17 cm

From the question, we are to determine the length, b, of the longest side of the triangle

From the given information,

Area of the triangle = 22.4 cm²

Then, we can write that

22.4 = 1/2 × a × 3.7 sin97

44.8 = a × 3.7 sin97

44.8 = a × 3.6724

a = 44.8/3.6724

a = 12.199

a = 12.2

Given that the sides of the triangle are a, b, and c,

Then,

From the law of cosines, we can write that

b² = c² + a² - 2ac cosB

b² = 3.7² + a² - 2×a×3.7 cos97°

b² = 3.7² + 12.2² - 2×12.2×3.7 cos97°

b² = 3.7² + 12.2² - 2×12.2×3.7 cos97°

b² = 173.53

b = √173.53

b = 13.17 cm

The length of b is 13.17 cm

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Answer:

no

Step-by-step explanation:

there is no factor to convert one into the other.

moreover, 19 is prime and 9 is not, so no way.

The speed of both printers operating together is 1.333 hours which was found using the given data.

The formula used to explain the connection between speed, distance, and time is speed = distance/time.

Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.

Let,

a = Speed of New printing press

b = Speed of Old printing press

x = Speed of both printers operating together

We know that,

(1/a)+(1/b)=(1/x)

(1/2)+(1/4)=(1/x)

(4/8)+(2/8)=(1/x)

6/8=1/x

x=8/6

x=1.333

Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.

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Answer:

25.44$

Step-by-step explanation:

20% of $30 = 6 $

Cost = 24$

Tax = 1.44$

Total cost = 25.44$

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

The final price of shirt is $25.44

30×.20= 6

30-6=24

24×0.06=1.44

24+1.44= 25.44

Answer:

can't say what will you do

Answer:

125x^15

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

perimeter= sum of all sides

= 8+3+8+5

=24

If two coplanar lines are cut by a transversal so that a pair of alternate interior angles are equal then the two lines are parallel.

The four sets of opposing angles that each have their own vertex point, are on different sides of the transversal and are both either internal or exterior are called alternate angles.

In geometry, a transversal line is one that cuts across the plane in two places. It does so at two spots where two lines meet. Many right angles are produced when two transverse lines meet. There are four types of similar angles: matching, alternative interior, alternate exterior, and co-interior.

In geometry, two lines are considered parallel if and only if all pairs of alternative interior angles in any transversal are equal.

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The estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.

To estimate the monthly average daily radiation on a horizontal surface H in June in Amman, we can use the following equation:

\([H = S \times H_s \times \frac{\sin(\phi)\sin(\delta)+\cos(\phi)\cos(\delta)\cos(H_a)}{\pi}]\)

where:

S is the solar constant, which is approximately equal to 1367 W/m(^2);

\(H(_s)\) is the average number of sunshine hours per day in Amman in June, which is given as 10 hours;

(\(\phi\)) is the latitude of the location, which for Amman is approximately 31.9 degrees North;

(\(\delta\)) is the solar declination angle, which is a function of the day of the year and can be calculated using various methods such as the one given in the answer to Q1;

\(H(_a)\) is the hour angle, which is the difference between the local solar time and solar noon, and can also be calculated using various methods such as the one given in the answer to Q1.

Substituting the given values, we get:

\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(\delta)+\cos(31.9)\cos(\delta)\cos(H_a)}{\pi}]\)

Since we are only interested in the monthly average daily radiation, we can assume an average value for the solar declination angle and the hour angle over the month of June. For simplicity, we can assume that the solar declination angle (\(\delta\)) is constant at the value it has on June 21, which is approximately 23.5 degrees North. We can also assume that the hour angle \(H(_a)\) varies linearly from -15 degrees at sunrise to +15 degrees at sunset, with an average value of 0 degrees over the day.

Substituting these values, we get:

\([H = 1367 \times 10 \times \frac{\sin(31.9)\sin(23.5)+\cos(31.9)\cos(23.5)\cos(0)}{\pi}]\)

Simplifying the equation, we get:

\([H \approx 7.35 \text{ kWh/m}^2\text{/day}]\)

Therefore, the estimated monthly average daily radiation on a horizontal surface in June in Amman is approximately 7.35 kWh/m(^2)/day.

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Answer and Step-by-step explanation:

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Hi there! This is what the graph should look like: (Look at the picture attached)

We can see that the solution to the equation is (3, -2) because this is where the lines intersect.

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#teamtrees #WAP (Water And Plant)

The remove interior angles of angle BCD are given as follows:

<A and <C.

Remote interior angles are defined as the angles of a triangle that do not share a vertex with a given exterior angle

The exterior angle for the triangle is angle C, hence angles <A and <B are the remote interior angles of the triangle relative to angel C.

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The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

What is Standard Deviation?

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean. By calculating the departure of each data point from the mean, the standard deviation may be determined as the square root of variance. The bigger the deviation within the data collection, the more the data points deviate from the mean; Hence, the higher the standard deviation, the more dispersed the data.

We know that:

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

where \(x_{i}\)  is the mean and n is the number of observations.

\(\text { Standard Deviation }=\sqrt{\frac{\sum\left(x_i-\bar{x}\right)^2}{n-1}}\)

98% Confidence interval:  

\(\bar{x} \pm t_{\text {critical }} \frac{s}{\sqrt{n}}\)

Putting the values, we get,  

\(t_{\text {critical }} \alpha_{0.02}\\=\pm 2.14535.07 \pm 2.145\left(\frac{6.02}{\sqrt{15}}\right)\\=35.07 \pm 3.33\\=(31.74,38.4)\)

Hence, The lower and upper values of the confidence interval of the population mean for the minutes spent getting to work is (31.74,38.4)

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If a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two

When a categorical variable that has n categories is to be included as an independent variable in a linear regression analysis, it must be converted to n - 1 dummy variables. The reason for this is that including all n categories as dummy variables would cause perfect multicollinearity in the regression analysis, making it impossible to estimate the effect of each variable.In this case, the set of categories {Red, Blue, Green, Yellow} has four categories. As a result, n - 1 = 3 dummy variables are required to represent this variable in a linear regression. This is true since each category is exclusive of the others, and we cannot assume that there is an inherent order to the categories.The dummy variable for the first category is included in the regression model by default, and the remaining n - 1 categories are represented by n - 1 dummy variables. As a result, the number of dummy variables that are required to represent the categorical variable in the regression model is n - 1.

Thus, if a categorical variable that can take the values from the set {Red, Blue, Green, Yellow} is included as an independent variable in a linear regression, the number of dummy variables that are created is two .

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Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

Euler's method is a numerical approximation technique used to estimate the solution to a differential equation. It is not exact and introduces some error due to its approximation nature.

The accuracy of Euler's method depends on the order of the polynomial that represents the solution.

In general, Euler's method is more accurate for lower order polynomials. This means that if the solution to the differential equation is a lower order polynomial, the approximation obtained using Euler's method will be more accurate.

To understand this, let's consider an example. Suppose we have a first-order polynomial as the solution to the differential equation.

In this case, Euler's method will provide a reasonably accurate approximation. However, as the order of the polynomial increases, the accuracy of Euler's method decreases.

It's important to note that higher order polynomials have more complex behavior, and Euler's method cannot capture all the intricacies of the solution.

In such cases, other numerical approximation methods, like the Runge-Kutta method, may be more suitable.

In summary, Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

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